We consider the magnetoresistance oscillation phenomena in the Bechgaard salts (TMTSF) 2 X, where X ϭClO 4 , PF 6 , and AsF 6 in pulsed magnetic fields to 51 T. Of particular importance is the observation of a new magnetoresistance oscillation for XϭClO 4 in its quenched state. In the absence of any Fermi-surface reconstruction due to anion order at low temperatures, all three materials exhibit nonmonotonic temperature dependence of the oscillation amplitude in the spin-density-wave ͑SDW͒ state. We discuss a model where, below a characteristic temperature T* within the SDW state, a magnetic breakdown gap opens.